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Finding the Third Proportional to 812,726,822 and 1,780,722,988

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Solution

The third proportional to 812,726,822 and 1,780,722,988 is: 3,901,648,468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,726,822 : 1,780,722,988 = 1,780,722,988 : x
  2. Step 2: Convert to fraction form
    812,726,822/1,780,722,988 = 1,780,722,988/x
  3. Step 3: Cross multiply
    812,726,822x = 1,780,722,988 × 1,780,722,988
  4. Step 4: Simplify right side
    812,726,822x = 3,170,974,359,991,648,256
  5. Step 5: Solve for x
    x = 3,170,974,359,991,648,256/812,726,822
  6. Step 6: Final answer
    x = 3,901,648,468.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.